Search a number
-
+
20121120000102 = 23111013018469847
BaseRepresentation
bin1001001001100110100000…
…01101011100100001100110
32122020120010110010000110110
410210303100031130201212
510114131023210000402
6110443303120033450
74144463053026462
oct444632015344146
978216113100413
1020121120000102
116458356757880
12230b736462886
13b2c54b532254
144d7c2022b4a2
1524d5e332356c
hex124cd035c866

20121120000102 has 32 divisors (see below), whose sum is σ = 44335285127424. Its totient is φ = 6036939692000.

The previous prime is 20121120000053. The next prime is 20121120000151. The reversal of 20121120000102 is 20100002112102.

It is an interprime number because it is at equal distance from previous prime (20121120000053) and next prime (20121120000151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509228258 + ... + 1509241589.

It is an arithmetic number, because the mean of its divisors is an integer number (1385477660232).

Almost surely, 220121120000102 is an apocalyptic number.

20121120000102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121120000102 is an abundant number, since it is smaller than the sum of its proper divisors (24214165127322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20121120000102 is a wasteful number, since it uses less digits than its factorization.

20121120000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018469964.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20121120000102 its reverse (20100002112102), we get a palindrome (40221122112204).

The spelling of 20121120000102 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 3018469847 6036939694 9055409541 18110819082 33203168317 66406336634 99609504951 199219009902 304865454547 609730909094 914596363641 1829192727282 3353520000017 6707040000034 10060560000051 20121120000102